two eggs and two pieces of bacon have a total of 22 grams of fat. two eggs and four pieces of bacon have a total of 32 grams of fat. how many grams of fat are in each?

Answers

Answer 1

We can solve the given system of equations to find how many grams of fat are in each when two eggs and two pieces of bacon have a total of 22 grams of fat and two eggs and four pieces of bacon have a total of 32 grams of fat.

Step-by-step explanation:

Let's consider that each piece of bacon has "x" grams of fat and each egg has "y" grams of fat.

From the given information, we can form two equations as follows:

Equation 1: 2x + 2y = 22 (when two eggs and two pieces of bacon have a total of 22 grams of fat)

Equation 2: 4x + 2y = 32  (when two eggs and four pieces of bacon have a total of 32 grams of fat)

To solve for "x" and "y", let's perform elimination by multiplying Equation 1 by (-2) and adding it to Equation 2.

-4x - 4y = -44  (multiply Equation 1 by -2)
+ 4x + 2y = 32  (Equation 2)

-2y = -12

y = 6

Substitute the value of "y" in Equation 1 or 2 to solve for "x":

2x + 2y = 22

2x + 2(6) = 22

2x = 10

x = 5

Therefore, each piece of bacon has 5 grams of fat and each egg has 6 grams of fat.

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Related Questions

PLEASE HELP PLEASE HELP HELP HELP HELP!!!!!!!!!!!!!!!!!!

Answers

The measure of angle A is 25°, where the value of x = 12.

What is triangle?

Three vertices, three sides, and three angles make up a clοsed triangle.

PQR serves as the symbοl fοr a triangle with the vertices P, Q, and R. Triangle-shaped items are mοst cοmmοnly fοund in sandwiches and signbοards.

A triangle cοnsists οf numerοus parts. There are 3 angles, 3 vertices, and 3 sides tο it.

A triangle has three sides, three internal angles, and three vertices.

The three inner angles οf a triangle can never add up tο mοre than 180 degrees, which is knοwn as the "angle sum prοperty" οf triangles.

Take nοte οf the triangle PQR in the illustratiοn abοve, where the sum οf the angles P, Q, and R is 180 degrees i.e.

90° + (2x + 1)° + (5x + 5)° = 180°

Solving for x

⇒ (2x + 1)° + (5x + 5)° = 180° - 90°

⇒  (2x + 1)° + (5x + 5)° = 90°

⇒ 7x + 6 = 90

⇒ 7x = 90 - 6

⇒ 7x = 84

⇒ x = 84/7

⇒ x = 12

Now, m∠A = (2x + 1)°

m∠A = (2(12) + 1)°

m∠A = 24 + 1

m∠A = 25°

Thus, The measure of angle A is 25°.

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A,B and c lie on a straight line segment A , E and d lie on a straight line segment AB = 5cm AC= 30cm and EB = 4cm work out the length of dDC

Answers

The length of dDC is 16 cm. We can use the similarity of triangles ACD and ABE to find the length of DC.

We know A,B and c lie on a straight line segment A , E and d lie on a straight line segment

AC/AB = AD/AE

Substituting the given values, we get:

30/5 = AD/(AD+4)

Simplifying the equation, we get:

AD = 20

Now, we can use the similarity of triangles ACD and ABE again, to find the length of DC.

CD/BE = AD/AE

Substituting the values, we get:

CD/4 = 20/(20+5)

Simplifying the equation, we get:

CD = 16

Therefore, the length of dDC is 16 cm.

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SOMEONE PLEASE DO THIS FOR ME I WILL SELL MY SOUL AND A BUNCH OF THE LITTE POINT THINGS

Answers

Answer:  SORRY THIS TOOK FOREVER ITS SO HARD- THE ANSWER IS F, C, D, H, E, A, G, B!!!

Step-by-step explanation:

THE LEAST TO GREATEST ARE F, C, D, H, E, A, G, B! HOPE IT HELPED!! :D

12. STEM An engineer is designing solar
panels for a rover that will explore
Mars. The solar panel unfolds to an
isosceles trapezoid. The length of
one leg is 0.1.x -0.5 meters, and the
length of the other leg is 0.3.x-2.1
meters. What is the length of each of
the legs of the solar panel?

Answers

Answer:

Step-by-step explanation:

Let's call the length of the shorter leg of the isosceles trapezoid "a" and the length of the longer leg "b".

From the problem, we know that:

a = 0.1x - 0.5 (length of one leg is 0.1.x - 0.5 meters)

b = 0.3x - 2.1 (length of the other leg is 0.3.x-2.1 meters)

Since we know that the trapezoid is isosceles, we know that a = b. So we can set the two expressions equal to each other:

0.1x - 0.5 = 0.3x - 2.1

Now we can solve for x:

0.2x = 1.6

x = 8

Now that we know x, we can substitute it back into the expressions for a and b to find their lengths:

a = 0.1(8) - 0.5 = 0.3 meters

b = 0.3(8) - 2.1 = 0.3 meters

Therefore, each of the legs of the solar panel are 0.3 meters long.

Assume that females have pulse rates that are normally distributed with a mean of μ=75.0 beats per minute and a standard deviation of σ=12.5 beats per minute. Complete parts​ (a) through​ (c) below.

Answers

a.  The probability that a randomly selected adult female has a pulse rate less than 82 beats per minute is 0.7123.

b. The probability that 25 randomly selected adult females have a pulse rate with a mean less than 82 beats per minute is 0.9974.

c. The normal distribution can be used in part (b), even though the sample size does not exceed 30 as Option D: Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size.

What is probability?

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can range from 0 to 1, with 0 denoting an impossibility and 1 denoting a certainty.

a. Using the z-score formula, z = (x - μ) / σ, where x = 82, μ = 75, and σ = 12.5, we get -

z = (82 - 75) / 12.5

z = 0.56

Using a standard normal distribution table or calculator, we can find the probability that z is less than 0.56 is 0.7123.

Therefore, the probability value is obtained as 0.7123.

b. The central limit theorem states that as the sample size increases, the distribution of sample means becomes approximately normal, regardless of the shape of the original population distribution.

Therefore, we can use a normal distribution to approximate the sampling distribution of the sample mean, even if the sample size is less than 30.

The mean of the sampling distribution of the sample mean is the same as the mean of the original population, which is 75.

The standard deviation of the sampling distribution of the sample mean, also known as the standard error, can be calculated as σ / sqrt(n), where n = 25 is the sample size.

standard error = 12.5 / √(25) = 2.5

Using the z-score formula again, we can find the z-score for a sample mean of x' = 82 -

z = (x' - μ) / (σ / √(n))

z = (82 - 75) / (2.5)

z = 2.8

Using a standard normal distribution table or calculator, we can find the probability that z is less than 2.8 is 0.9974.

Therefore, the probability value is obtained as 0.9974.

c. The correct answer is the central limit theorem states that the distribution of sample means approaches a normal distribution as the sample size increases, regardless of the shape of the original population distribution.

The requirement of a sample size greater than 30 applies to using a normal distribution to approximate the population distribution, not the sampling distribution of the sample mean.

Therefore, the correct option is D.

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Assume that females have pulse rates that are normally distributed with a mean of μ=75.0 beats per minute and a standard deviation of σ=12.5 beats per minute. Complete parts​ (a) through​ (c) below.

a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 82 beats per minute.

The probability is ___.

b. If 25 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 82 beats per minute.

The probability is ___.

c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?

A. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size.

B. Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution for any sample size.

C. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size.

D. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size.

Find the X
geometry
pt.2

Answers

The angle of x in the given circle is 51 degrees.

What is theorem of secant and tangent line in circle?

In the case when a tangent line and a secant line originate from the same external point, the mean of the exterior angle is equal to half the difference between the major arc and the minor arc that are created by the tangent and secant lines.

From the given figure we observe that the secant line and tangent line start from the same exterior angle.

Thus, according to the theorem of secant and tangent line of circle we have:

angle x = (DA - DB) /2

angle x = (178 - 76) / 2

angle x = 102 /2

angle x = 51 degrees.

Hence, the angle of x in the given circle is 51 degrees.

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DUE TOMORROW PLEASE HELP AND DONT TRY TO ANSWER WRONG TO GET POINTS PLEASE!!!!!!!!!!!!!!!
At a certain time, the end of the minute hand of the clock below centered at (0, 0) has coordinates approximately (7.5, 7.5). How long is the minute hand of the clock if each grid square is one inch by one inch? Explain your reasoning

Answers

The length of the minute hand of the clock is given as follows:

10.6 inches.

How to calculate the distance between two points?

Suppose that we have two points of the coordinate plane, and the ordered pairs have coordinates [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex].

The shortest distance between them is given by the equation presented as follows, derived from the Pythagorean Theorem:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

The ordered pairs for this problem are given as follows:

(0,0) and (7.5, 7.5).

Hence the distance between the two points, representing the length of the minute hand, is given as follows:

d = sqrt(7.5² + 7.5²)

d = 10.6 inches.

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The diameter of a softball is 3.8 inches. Estimate the volume within the softball. Round answers to the nearest
whole number and leave in the answer.
a. Volume: 73
b. Volume: 14
c. Volume: 9
d. Volume: 58

Answers

The volume of the ball is 9π (optionC)

What is volume of a sphere?

A sphere is symmetrical, round in shape. It is a three dimensional solid, that has all its surface points at equal distances from the center.

The ball takes the shape of the sphere. The volume of a sphere is therefore calculated as ;

V = 4/3 πr³

r = d/2 = 3.8/2 = 1.9

V = 4/3 × π × 1.9³

V = 27.44 π/3

V = 9π ( nearest whole number)

therefore the volume of the ball is 9π (nearest whole number)

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The hypotenuse of a right triangle measures 5 cm and one of its legs measures 3 cm. Find the measure of the other leg

Answers

Answer:

16

Step-by-step explanation:

a^2 + b^2 = c^2

a^2= 3^2 = 9

c^2=5^2 = 25

25-9= b^2

25-9=16

b^2 = 16

a culture of bacteria enters the exponential growth phase with 5521 cells per ml. the culture has a growth rate constant of 19380 hours what is the abdunace expressed as cells per lml

Answers

the abundance expressed as cells per ml would be: 7.70*10^8

Here,

Initial population = 9019

Growth rate = 0.9502 hr-1

Time = 17 hrs

We know that,

Final population = Initial population ( 1 + Growth rate)Time

= 9019 ( 1 + 0.9502 )17

= 9019 ( 1.9502 )17

= 9019 x 85378

= 770,024,182

= 7.70*10^8

A bacteria culture is a test to distinguish whether you have a bacterial disease. It very well may be performed on an example of blood, stool, pee, skin, bodily fluid, or spinal liquid. Utilizing this kind of test, a medical services supplier can distinguish what caused a disease and decide the best therapy.

Exponential growth is an example of information that shows more keen increments after some time.

In finance, compounding makes exponential returns.

Bank accounts with a building financing cost can show exponential growth.

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the complete question is:

7 + 35 2 points A culture of bacteria enters the exponential growth phase with 9,019 cells per ml. The culture has a growth rate constant of 0.9502 hours 1. After 17 hours, what is the abundance expressed as cells per ml? 1 • Report your answer in scientific notation to two decimal places. Remember to include trailing zeros!! o For example: • 42,000,000 would be expressed as 4.20*10^7 42,367,000 would be expressed as 4.24*10^7 2 3 0.54 4 Previous Next 5 6 7 00 8 9 10 11 12

Determine the equation of the circle graphed below.

Answers

Answer:

Step-by-step explanation:

Circle centre: (4,7)

Radius: 3

Equation is:

  [tex](x-h)^2+(y-k)^2=r^2[/tex]   (where (h,k) is center, r is radius)

  [tex](x-4)^2+(y-7)^2=3^2[/tex]

  [tex](x-4)^2+(y-7)^2=9[/tex]     (This is the general standard form )

in expanded form,

  [tex](x^2-8x+16)+(y^2-14y+49)=9[/tex]

  [tex]x^2+y^2-8x-14y+56=0[/tex]

Note: Unless stated either form is an acceptable answer.

Select the correct answer. Simon used these steps to solve an equation: Step 1: -6(x + 7) = 2(x − 11) Step 2: -6x − 42 = 2x − 22 Step 3: -8x − 42 = -22 Step 4: -8x = 20 Which property did he use to get from step 3 to step 4? A. addition property of equality B. distributive property C. subtraction property of equality D. transitive property

Answers

Answer: A - addition property of equality

Explanation: because -8x - 42 = -22

+42 +42

____________

-8x = 20

__ __

-8 -8

x = -2.5

Emily and john will be hiking for 42 hours. Hikers should drink at 2. 7 cups of water for every 2 hours of hiking. How many cups of water should emily and john drink?

Answers

From the given information provided, emily and john should drink 56.7 cups of water for 42 hours hiking.

If hikers should drink 2.7 cups of water for every 2 hours of hiking, then we can use a proportion to find how much water Emily and John should drink over their 42-hour hike:

2.7 cups / 2 hours = x cups / 42 hours

To solve for x, we can cross-multiply:

2.7 cups × 42 hours = 2 hours × x cups

113.4 cups = 2x

Finally, we can divide both sides of the equation by 2 to solve for x:

x = 56.7 cups

Therefore, Emily and John should drink a total of 56.7 cups of water during their 42-hour hike.

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Priya has a recipe for banana bread. She uses 7 1/2 cups of flour to make 3 loaves of banana bread. Andre will follow the same recipe. He will make b loaves of banana bread using f cups of flour. Which of these equations represents the relationship between b and f?

Answers

Answer:

Step-by-step explanation:

asdf

Quadratic function in standard form having zeros of 3 and 1/2

Answers

The standard form of a quadratic function is:

`f(x) = ax^2 + bx + c`

If the zeros of the function are 3 and 1/2, then the factors of the function are:

`(x - 3)` and `(x - 1/2)`

To find the quadratic function using these factors, you can first multiply them together:

`(x - 3)(x - 1/2) = x^2 - 7/2x + 3/2`

Now we have:

`f(x) = x^2 - 7/2x + 3/2`

This is the quadratic function in standard form that has zeros of 3 and 1/2.

Two landing points, A and B, lie on the straight bank of a river and are separated by 50 meters. Find the distance from each landing point to a boat pulled ashore on the opposite bank at a point C if

Answers

The distance from each landing point to the boat pulled ashore at point C is given by:-d = sqrt(25^2 (y^2/x^2 + 1))

WHAT IS TRIGONOMETRY ?

Trigonometry is a branch of mathematics that deals with the study of the relationships between the sides and angles of triangles. It is used to solve problems involving distances, heights, angles, and other geometric measurements. Trigonometric functions such as sine, cosine, and tangent are used to relate the angles of a triangle to its sides. Trigonometry has many practical applications in fields such as engineering, physics, and architecture, and is essential for understanding and solving problems involving waves, oscillations, and periodic phenomena. It is also used in navigation, surveying, and astronomy, among other areas.

To solve this problem, we need to use the concept of right triangle trigonometry.

Let's assume that point C is directly opposite the midpoint of AB, and that the distance from point C to the midpoint of AB is x. Then we can draw a right triangle with legs of length x and 25 (half of 50) and a hypotenuse of length d (the distance from point C to each landing point).

Using the Pythagorean theorem, we can write:

d^2 = x^2 + 25^2

We also know that the angles opposite the legs of the right triangle are complementary, so we can use the tangent function to write:

tan(theta) = x/25

where theta is the angle between the hypotenuse and the side of length 25.

We can rearrange this equation to solve for x:

x = 25 tan(theta)

Now we can substitute this expression for x into the equation for d^2:

d^2 = (25 tan(theta))^2 + 25^2

Simplifying this equation, we get:

d^2 = 25^2 (tan^2(theta) + 1)

Finally, we can use the fact that tan(theta) is equal to the height of the opposite bank divided by the distance from point C to the midpoint of AB. Let's call this distance y. Then we have:

tan(theta) = y/x

Substituting this expression for tan(theta) into the equation for d^2, we get:

d^2 = 25^2 (y^2/x^2 + 1)

So the distance from each landing point to the boat pulled ashore at point C is given by:

d = sqrt(25^2 (y^2/x^2 + 1))

where x and y are the distances from point C to the midpoint of AB and the opposite bank, respectively.

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pleas help meeeeee thank

you

Answers

Answer:

angle "E" =70°

Step-by-step explanation:

<ABC=<ADC

<ADC=<EAD (alternate angles)

<EAD=<DEA (because /DA/=/DE/

and <DEA=angle E, therefore answer=70°

Determining the top three winners in a Science Quiz Bee Forming lines from six given points with no three of which are

Answers

The nature of formula (Permutations or Combinations) for each scenario is the following:

1) Permutations ; 2) Combination

3) Combination ; 4) Permutations

5)Permutations ; 6)Combination

7) Combination ; 8)Combination 9)Combination ; 10)Combination.

Permutations formula: Permutation is considered an ordered combination. The general formula for this is,

P(n, r) = n! /(n-r)!

Combination formula: It is considered arrangement ways but without ordered combination. The general formula for this is C(n, r) = n!/ (n-r)! r!

Now, we have provide some situations and we have to resolve them.

1) Determining the top three winners ing Science Quiz have to Bee is an example of Permutation as here we just arrange the position for top winners.

2) Forming lines from six given points with no three of which are collinear, is an example of combination because only pair of points is needed.

3) It will be a combination as here we select 3 points to make a triangle user.

4) Four people posing for pictures is an example of Permutation as oder does not matter.

5) Assembling a jigsaw puzzle is an example of Permutations.

6) As here we choose 2 household chores so it is a combination.

7) Selecting 5 basketball players out of 10 team members for the different positions members it is a combination.

8) Choosing three friend for birthday party is combination formula.

9) Picking 6 balls from a basket by 12 balls is combination formula.

10) Forming a committe of 5 members from do people 20 combinations people.

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Complete question:

P- Permutations or C- Combinations.

1. Determining the top three winners in a Science Quiz Bee

2. Forming lines from six given points with no three of which are collinear

3. Forming triangles from 7 given points with no three of which are collinear

4. Four people posing for pictures

5. Assembling a jigsaw puzzle

6. Choosing 2 household chores to do before dinner

7. Selecting 5 basketball players out of 10 team members for the different positions

8. Choosing three of your classmates to attend your party

9. Picking 6 balls from a basket of 12 balls

10. Forming a committee of 5 members from 20 people

suppose that you have a collection of n spins, each of which points up or down with equal probability. what is the probability that exactly n of them will point up? give both an exact expression and an approximation valid for large n. are there any additional conditions on n for your large n approximations to be valid?

Answers

The probability that exactly n of the collection of n spins will point up is given by the Binomial distribution. The Binomial distribution is a discrete probability distribution that models the number of successes (x) in a given number of trials (n) with a fixed probability of success (p) on each trial.

In this case, we have n trials, with a fixed probability of success of 0.5 (since each spin can point up or down with equal probability). The number of successes we're interested in is n. Thus, the probability of n successes is given by:P(X = n) = (nCn)(0.5)^n = 0.5^nwhere nCn is the number of ways to choose n items from n items, which is 1.Approximation for large n:When n is large, we can use the normal approximation to the Binomial distribution.

Specifically, we use the Normal distribution with mean np and variance np(1-p). In this case, p = 0.5, so the mean and variance are both (0.5)n. Therefore, the probability of n successes is approximately:P(X = n) ≈ φ(x) = (1/σ√2π)exp[-(x-μ)^2/2σ^2]where μ = np = (0.5)n and σ^2 = np(1-p) = (0.5)n(0.5) = (0.25)n.

Plugging these values in, we get:P(X = n) ≈ φ(x) = (1/σ√2π)exp[-(n/2n)^2/2(0.25)n] = (1/σ√2π)exp[-(1/8n)] = (1/√2πn)exp[-(1/8n)]Note that for the large n approximation to be valid, we require np and n(1-p) to be at least 10. In this case, np = (0.5)n and n(1-p) = (0.5)n, so this condition is satisfied for any n.

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a pizza that is 12 in diameter is cut into six slices. find the length of each arc intercepted by each slice (length of the crust). find the area of each slice.

Answers

The length of each arc intercepted by each slice is 2.09 inches.

The area of each slice 18.85 square inches .

To find the length of each arc intercepted by each slice and the area of each slice of a pizza that is 12 inches in diameter, follow the steps below. Length of each arc intercepted by each slice

The formula to find the length of each arc is given by:

L = θ/360 * 2πr

WhereL = length of arc

θ = angle of arc in degrees

r = radius of circle (diameter/2)

Given, diameter of pizza = 12 inches

So, radius of pizza = 12/2 = 6 inches

Since the pizza is cut into 6 equal slices, each slice will have an angle of 360/6 = 60 degrees.

Now, substituting the given values in the formula:

L = 60/360 * 2π* 6L = 1/6 * 12πL = 2π/3 ≈ 2.09 inches

The formula to find the area of each slice is given by:

A = θ/360 * πr²

Given, diameter of pizza = 12 inches

So, radius of pizza = 12/2 = 6 inches

Since the pizza is cut into 6 equal slices, each slice will have an angle of 360/6 = 60 degrees.

Now, substituting the given values in the formula:

A = 60/360 * π* 6²A = 1/6 * 36π

A = 6π ≈ 18.85 square inches

Thus, the length of each arc intercepted by each slice is approximately 2.09 inches and the area of each slice is approximately 18.85 square inches.

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Sam, Larry, and Howard have contracted to paint a large room in a house. After calculating all the material costs, which are to be paid by the homeowner, they decide that $270 would be a fair price for the 16 hours it will take to prepare, paint, and clean up. Each of the men decides that $15.00 an hour is a fair wage for the job. If three-quarters of the work will be done by Larry, how much will Larry be paid for his work on the job?

Answers

Answer:

180 dollars

Step-by-step explanation:

270 for 16 hours = 16.875 dollars for each hour

15.00 an hour will be paid to larry

larry is doing 3/4 of those 16 hours

12 hours

15 x 12

larry gets 180 dollars for 12 hours of work

hope this helps x


If AD = 28 and DB = 45, which is the exact
circumference of Circle C?

Answers

The circumference of Circle C is found as 53π.

Define about the circumference of Circle?The circumference of a circle is the distance encircling its edge. The diameter of a circle is the distance measured through its center. The radius of a circle is the distance from the center to any point on the edge.

In the given figure:

AD = 28 and DB = 45

∠ADB = 1/2 *∠ACB

∠ADB = 90

Applying Pythagorean theorem in ΔABD.

AB² = AD² + DB²

AB² = 28² + 45²

AB = √2809

AB = 53

Radius = 53/2

circumference of Circle C:

C = 2πr

C = 2*π* (53/2)

C =  53π

Thus, the circumference of Circle C is found as 53π.

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If YZ is the requested side and XZ is the given side, which ratio amongst sin 35,3° or cos 35,5° will be used to calculate YZ ​

Answers

The answer of the given question based on the trigonometry is , to calculate YZ, we should use the cosine function with the angle 35.5°.

What is Sine function?

The sine function is a mathematical function that relates the ratios of the lengths of two sides of a right triangle with the measure of one of its non-right angles. Specifically, the sine of an angle in a right triangle is defined as the ratio of the length of the side opposite to the angle to the length of the hypotenuse.

To use trigonometry to calculate YZ, we need to find a trigonometric ratio that involves the given side XZ and the angle opposite the requested side, which is angle YXZ. We don't have the measure of this angle, but we know that it is supplementary to the given angle 35.5°, so it must measure:

180° - 35.5° = 144.5°

We can use this angle and the given side XZ to find the length of YZ using the sine or cosine function.

In this case, the length of the opposite side is YZ, the length of the hypotenuse is XZ, and the measure of the angle is 144.5°. So we can write:

sin(144.5°) = YZ / XZ

Solving for YZ, we get:

YZ = XZ * sin(144.5°)

On the other hand, the cosine function , this case, the length of the adjacent side is YZ, the length of the hypotenuse is XZ, and the measure of the angle is 35.5°. So we can write:

cos(35.5°) = YZ / XZ

Solving for YZ, we get:

YZ = XZ * cos(35.5°)

Therefore, to calculate YZ, we should use the cosine function with the angle 35.5°.

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If AB=7x-4 and CB=6x what’s length of chord AC

Answers

48 is  length of chord AC.

How is a chord defined?

Three or more notes come together to form a chord. A single note, referred to as the root, serves as the foundation for chords. Triads will be covered in this lesson.

                         A root, third, and fifth are used to make them. A line segment connecting two locations on the circle's circumference is what is referred to as the chord of a circle. The diameter, which runs through the centre of the circle, is the lengthiest chord of the circle.

since OD intersects AB to form a right angle at point B, so it bisects the chord AC.

so AB = BC      (1)

given AB = 7x - 4

and CB = 6x  

from (1) we have

7x - 4 = 6x

x = 4

so AB = 7(4) - 4 = 24

CB = 6(4) = 24

length of chord AC = AB + BC = 24 + 24 = 48

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The complete question is -

Segment OD intersects AB to form a right angle at point B.

If AB = 7x - 4 and CB = 6x, what is the length of the chord AC?

Behaviors are executed when neurons from the ___ send instructions to muscles along a descending neural network called the ___, which decussates in the ____.

Answers

The corticospinal tracts carry information from the motor cortex, which is responsible for coordinating the movement of muscles, to the lower motor neurons. The extra-pyramidal tracts are made up of several types of neurons that play a role in modulating and fine-tuning the movement of muscles.

Neurons in the central nervous system (CNS) send instructions to muscles along a descending neural network called the descending motor pathways, which decussate in the medulla oblongata. This means that information from the brain travels down the spinal cord on both sides of the body, and crosses over to the opposite side at the medulla. The descending pathways start from the brainstem and motor cortex, and control the contraction of skeletal muscles, which are responsible for body movements.

The descending motor pathways are a series of neurons that connect the CNS to the muscles, transmitting the information required for voluntary body movements. Through the descending pathways, the brain can communicate with the muscles and control them. The pathways are divided into two parts, the corticospinal tracts and the extra-pyramidal tracts.

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Identify the area of the polygon with vertices P(1,2), Q(1,4), R(-1,6), and S(-3,2).
A = 16 units²
A= 10 units²
A= 6 units²
A = 14 units²

Answers

The area of the polygon with vertices P(1,2), Q(1,4), R(-1,6), and S(-3,2) is given as 10 units. Option B

How to find the area

We can find the area of the polygon with the given vertices by dividing it into triangles and adding their areas.

One way to divide the polygon into triangles is to draw a diagonal from vertex P to vertex R. This creates two triangles, PQR and PRS.

[tex]\frac{1 }{2} ((4 - 2) + (6--4) + (-2 - - 18) + (-6 - 2)[/tex]

= 1 / 2 ( 2 + `10 + 16 - 8)

= 1 / 2 ( 20

= 10

The area of the polygon is 10 units

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w(x)= -5(x-8)(x+4)
What is the maximum height that the stone will reach?

Answers

Answer:

(2, 180)

Step-by-step explanation:

w(x)=-5x^2+20x+160

a=-5 b=20

x=-20/2x(-5)

x=2

w(2)=180

2, 180

which of the following is not a characteristic of the normal probability distribution? 99.72% of the time the random variable assumes a value within plus or minus 1 standard deviation of its mean.

Answers

The false statement regarding the normal distribution is given as follows:

99.72% of the time the random variable assumes a value within plus or minus 1 standard deviation of its mean.

How to obtain probabilities using the normal distribution?

The z-score of a measure X of a normally distributed variable that has mean represented by [tex]\mu[/tex] and standard deviation represented by [tex]\sigma[/tex] is obtained by the equation presented as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score represents how many standard deviations the measure X is above or below the mean of the distribution of the data-set, depending if the obtained z-score is positive(above the mean) or negative(below the mean).The z-score table is used to obtain the p-value of the z-score, and it represents the percentile of the measure X in the distribution.

The percentage of scores within 1 standard deviation of the mean is obtained considering that:

The p-value of Z = 1 is of 0.8413.The p-value of Z = -1 is of 0.1587.

Hence the percentage is given as follows:

84.13 - 15.87 = 68.26%, which is different of 99.72%.

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The correct answer is that all of the following are characteristics of the normal probability distribution as given below.

What is a probability?

A subfield of statistics known as probability studies random events and their likelihood of happening.

The statement "99.72% of the time the random variable assumes a value within plus or minus 1 standard deviation of its mean" is actually a characteristic of the normal probability distribution.

The correct answer is that all of the following are characteristics of the normal probability distribution:

It is a continuous probability distribution, which means that it can take on any value within a certain range.It is symmetric around its mean.It is described by two parameters: its mean and standard deviation.The area under the curve of the probability density function is equal to 1.A large proportion (68.27%) of the data falls within one standard deviation of the mean, an even larger proportion (95.45%) falls within two standard deviations of the mean, and an even larger proportion (99.73%) falls within three standard deviations of the mean.

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PLEASE HELP MARKING BRAINLEIST JUST ANSWER ASAP

Answers

Answer:

[tex]\textsf{The value of t is 14m. }[/tex]

Step-by-step explanation:

To find:-

The value of "t" .

Answer:-

F I G U R E : -

[tex]\setlength{\unitlength}{1 cm}\begin{picture}(0,0)\thicklines\qbezier(1,1)(1,1)(6,1)\put(0.4,0.5){\bf D}\qbezier(1,1)(1,1)(1.6,4)\put(6.2,0.5){\bf C}\qbezier(1.6,4)(1.6,4)(6.6,4)\put(1,4){\bf A}\qbezier(6,1)(6,1)(6.6,4)\put(6.9,3.8){\bf B}\multiput(3,.5)(0,4){2}{$\sf 13m $}\multiput(1,2.5)(5.5,0){2}{$\sf t $}\put(5,-2){$\boxed{\bf{-\ By }\ \bf " Tony Stark"}$}\end{picture}[/tex]

As we know that the perimeter of a parallelogram is the sum of all the side lengths of it . Also we know that the opposite sides are equal in a parallelogram. Therefore, here the two other sides AD and DC would be "t" and "13m" respectively.

Now also we are given that the perimeter of the parallelogram is 54m . So we can create a equation to find out "t" as ,

[tex]:\sf\implies Perimeter = 13m + t + 13c

m + t\\[/tex]

Since the perimeter is 54m , therefore;

[tex]:\sf\implies 54m = 26m + 2t \\[/tex]

Subtract 26m on both the sides,

[tex]:\sf\implies 54m - 26m = 2t\\[/tex]

Simplify,

[tex]:\sf\implies 28m = 2t \\[/tex]

Divide both the sides by "2" ,

[tex]:\sf\implies t = \dfrac{28m}{2} \\[/tex]

Simplify,

[tex]:\sf\implies \pink{ t = 14m } \\[/tex]

Hence the value of t is 14m .

Assume that Canada imports more goods and services than it exports. Which of the following is true of the Canadian balance of payments accounts??
The correct answer is C. Could you please explain in detail why the trade balance must be negative, and why A and E is wrong. Thx!!!25. Assume that Canada imports more goods and services than it exports. Which of the following is true of the Canadian balance of payments accounts? (A) The current account balance must be negative. (B) The current account balance must be positive (C) The trade balance must be negative. (D) The financial account (formerly called capital account) balance must be negative (E) The financial account (formerly called capital account) balance must be positive

Answers

The trade balance must be negative.

If Canada imports more goods and services than it exports, the trade balance must be negative.

Here's a step-by-step explanation of why this is true and why options A and E are wrong:

1. The trade balance is calculated as the value of exports minus the value of imports. If imports are greater than exports, the trade balance will be negative (C). This m that Canada is seen spending more on goods and services from other countries than it is receiving from the sale of its own goods and services to other countries.

2. The current account balance includes the trade balance, but also considers other transactions such as income from investments and transfers like foreign aid. While it is possible that a negative trade balance could be offset by other positive inflows, we do not have enough information to determine whether the current account balance must be negative (A) or positive (B). Therefore, we cannot definitively say that A or B is true.

3. The financial account (formerly called capital account) balance records the net change in ownership of financial assets, such as stocks and bonds, between a country and the rest of the world. A negative financial account balance means that a country's residents are purchasing more foreign assets than foreign residents are purchasing of that country's assets. A positive financial account balance means the opposite. Since we only have information about the trade balance and not the financial transactions, we cannot determine whether the financial account balance must be negative (D) or positive (E).

Based on the information given, we can only conclude that the trade balance must be negative (C) if Canada imports more goods and services than it exports.

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